Antiderivatives; Riemann Sums; Areas; Definite Integrals excercise and solutions - MA103 Week 11 Report Antiderivatives Reimann Sums Area under a Curve

Antiderivatives; Riemann Sums; Areas; Definite Integrals excercise and solutions

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MA103 Week 11 Report - Antiderivatives; Reimann Sums; Area under a Curve; Definite Integrals Name: Student Number: Lab Fall 2012 1. [3marks] Determine a functionfwith domain (0,1] that has slope21-xxand passes through thepoint (1,2π). 1 2. [4marks] Suppose that the acceleration of a particle, inm/s2, is given bya(t) = 3 sin(t) + 2 cos(t). Determinethe particle’s position (displacement) function if its initial velocity isv(0) = 3m/sand its initial position iss(0) = 0m. 1

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